An amount of #550,000.00 was realised when a principal,x was saved 2% simple interest for 5 years. Find the value of x​

The blood viscosity and vessel length remain relatively constant, the regulation of vessel radius becomes the primary mechanism for controlling resistance in the body.

Blood viscosity refers to the thickness or stickiness of blood, which is determined by the number and size of red blood cells, as well as the concentration of proteins and other substances in the plasma.

Blood viscosity affects resistance because the thicker the blood, the more difficult it is for it to flow through the blood vessels.

Blood vessel length refers to the distance that blood has to travel through the vessels, which affects resistance because the longer the vessel, the more difficult it is for blood to flow through it.

However, vessel length remains relatively constant in the body because it is determined by the body's anatomy and does not change significantly over time. Therefore, the only time when vessel length can change is during a surgical procedure or injury that alters the anatomy of blood vessels.

Mathematically, the resistance to blood flow (R) can be calculated using the formula R = (8 x viscosity x length) / (π x radius⁴).

This formula shows that blood viscosity and vessel length are directly proportional to resistance, while vessel radius is inversely proportional.

Therefore, any increase in blood viscosity or vessel length will increase resistance, while any decrease in vessel radius will increase resistance.

To know more about resistance here

https://brainly.com/question/11431009

#SPJ4

Two variables are primarily linked when there is a proportionate relationship, which means that as 1 variable rises or falls, the other rises or falls at the same rate.

The ratios between both the two variables should be considered in order to determine whether a relationship is proportional. The relation is proportional if the ratio remains constant. The relationship is indeed not proportional if the ratio shifts.

When two or more items are directly proportionate or change in size according to equivalent ratios, the relationship is said to be proportional. This proportional relationship can be expressed using the formula y = kx.

To know more about ration visit:

https://brainly.com/question/13419413

#SPJ1

Answer:

Two variables are primarily linked when there is a proportionate relationship, which means that as 1 variable rises or falls, the other rises or falls at the same rate.

What factors determine if one relationship is proportional?

The ratios between both the two variables should be considered in order to determine whether a relationship is proportional. The relation is proportional if the ratio remains constant. The relationship is indeed not proportional if the ratio shifts.

What are the two proportional relationships principles?

When two or more items are directly proportionate or change in size according to equivalent ratios, the relationship is said to be proportional. This proportional relationship can be expressed using the formula y = kx.

To know more about ration visit:

brainly.com/question/13419413

Step-by-step explanation:

Answer:

Check the steps given below.

Step-by-step explanation:

I hope this helps you

Answer:

n = 55

n+15 = 70

2n = 110

Step-by-step explanation:

these angles are called 'same-side interior angles' and are supplementary

so we can add them together and set them equal to 180

n+15 + 2n = 180

combine 'like terms' to get:

3n + 15 = 180

subtract 15 from each side to get:

3n = 165

divide each side by 3 to solve for 'n'

n = 165/3

n = 55

substitute 55 for 'n'

55+15 = 70

2(55) = 110

check: 70 + 110 = 180

Answer:

X=-4, y=-5

Step-by-step explanation:

Y=2X+3

y=-x-9

substitute by inserting y value of 2nd equation (-x-9) into y value of 1st equation:

-x-9=2x+3

-x-9+9=2x+3+9

-x=2x+12

-3x=12

x=-4

solve for y by inserting x value (2) into either equation

y=2x+3

y=2(-4)+3

y=-8+3

y=-5

check answer by inserting x and y into either equation to make sure they equal:

y=2x+3

-5=2(-4)+3

-5=-8+3

-5=-5

or

y=-x-9

-5=-(-4)-9

-5=-5

Answer: 120

Step-by-step explanation:

Because it is

At the same walking rate, Mari can walk approximately 8.33 miles in 2 and a half hours.

To find out how far Mari can walk in 2 and a half hours, we'll use the given information that she can walk 2.5 miles in 45 minutes.

First, let's convert 2 and a half hours to minutes:

2.5 hours * 60 minutes/hour = 150 minutes

Now we can set up a proportion to find the distance Mari can walk in 150 minutes:

2.5 miles / 45 minutes = x miles / 150 minutes

Cross-multiplying the proportion:

45 * x = 2.5 * 150

Simplifying:

45x = 375

Dividing both sides by 45:

x = 375 / 45

x ≈ 8.33 miles

Therefore,  Mari can walk 8.33 miles.

Learn more about walking rate here:

https://brainly.com/question/30371402

#SPJ11

The probability that the salesperson will make exactly two sales in a day is 0.1489, the probability that the salesperson will make at least two sales in a day is 0.1451, and the expected number of sales per day is 0.8.

Let X be the number of sales made per day by the salesperson.

Then X follows a binomial distribution with parameters n = 8 and p = 0.10.a. To find the probability that the salesperson will make exactly two sales in a day, we need to find P(X = 2).

P(X = 2) = nCx * p^x * q^(n-x) = 8C2 * (0.10)^2 * (0.90)^6 = 28 * 0.01 * 0.5314 = 0.1489

Therefore, the probability that the salesperson will make exactly two sales in a day is 0.1489.

b. To find the probability that the salesperson will make at least two sales in a day, we need to find P(X ≥ 2).

P(X ≥ 2) = 1 - P(X < 2) = 1 - [P(X = 0) + P(X = 1)] = 1 - [(8C0 * (0.10)^0 * (0.90)^8) + (8C1 * (0.10)^1 * (0.90)^7)] = 1 - [1 * 0.90^8 + 8 * 0.10 * 0.90^7] = 0.1451

Therefore, the probability that the salesperson will make at least two sales in a day is 0.1451.

c. Expected number of sales per day = E(X) = n * p = 8 * 0.10 = 0.8

Therefore, the expected number of sales per day is 0.8.

To know more about  probability visit:

https://brainly.in/question/34187875

#SPJ11

The scale being used in Mr. Bob the Builder's map is 1 inch on the map corresponds to 156 inches in real life.

Using the given measurements, we can create a proportion to determine Mr. Bob the Builder's map's scale:

In real life, 16 inches on the map equal 208 feet.

Let's use the same measurement for the units. It is convenient to use the same unit of measurement on both sides of the proportion because we are attempting to establish the scale. How about we convert 208 feet to inches:

1 foot equals 12 inches; 208 feet equals 208 times 12 inches, or 2496 inches. Now we know the ratio:

We can cross-multiply to solve for the scale factor: 16 inches (on the map) x 2496 inches (in real life).

16 * 1 = 2496 * x

16 = 2496x

x = 16/2496

Improving on the part:

x = 1/156, so Mr. Bob the Builder's map uses a scale where one inch on the map is equivalent to 156 inches in real life.

To know more about scale factor refer to

https://brainly.com/question/29464385

#SPJ11

The light fixtures will make approximately 0.914 swings per second during a minor earthquake in San Francisco.

To determine the frequency of the swings per second for the light fixtures, we need to use the formula for the period of a pendulum, which is T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

In this case, the length of the pendulum is given as 1.50 m, and the mass of the bulb is given as 2.35 kg. We can assume that the shade and cord add negligible mass to the system. The acceleration due to gravity is approximately 9.8 m/s^2.

Plugging in the values, we get:

T = 2π√(1.50/9.8)

T ≈ 1.093 seconds

The frequency of the swings per second is the reciprocal of the period, so:

f = 1/T

f ≈ 0.914 Hz

It's important to note that this is an approximation, and the actual frequency may vary depending on factors such as the amplitude of the oscillations and the specific characteristics of the earthquake.

To learn more about light fixtures click on,

https://brainly.com/question/24462367

#SPJ4

Step-by-step explanation:

there is nothing its just a dark screen?

(a) The probability of drawing 2 Jack cards and 1 King card is approximately 0.096.

(a) To calculate the probability of drawing 2 Jack cards and 1 King card, we need to consider the number of favorable outcomes and divide it by the total number of possible outcomes. The favorable outcomes occur when we choose 2 Jacks from the 4 available and 1 King from the 4 available.

The total number of possible outcomes is the number of ways to choose 3 cards from a deck of 52. Dividing the favorable outcomes by the total outcomes gives us the probability of approximately 0.096.

(b) To calculate the probability of drawing 3 cards of the same type, we consider the four types of cards (hearts, diamonds, clubs, and spades). For each type, there are 13 cards available.

We need to choose 3 cards of the same type from each set, and then sum up the probabilities for each type. This gives us the probability of approximately 0.055.

(c) To calculate the probability of drawing at least 2 aces, we consider two cases: drawing exactly 2 aces and drawing all 3 aces. The probability of drawing exactly 2 aces is calculated by choosing 2 aces from the 4 available and choosing the third card from the remaining 49 cards.

The probability of drawing all 3 aces is calculated by choosing all 3 aces from the 4 available. Adding these two probabilities gives us the probability of approximately 0.147 for drawing at least 2 aces.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

Using probability concepts, we calculated that the likelihood that the person plays the clarinet but not the flute is 0.2743.

The possibility of an event or outcome occurring based on the existence of a prior event or outcome is known as conditional probability. It is calculated by dividing the likelihood of the previous event by the likelihood of the subsequent, or contingent, event.

Here,

Finding people who can play the clarinet but not the flute is necessary. There are 172 people who can play the clarinet.

There are 47 people who can play both the clarinet and the flute.

As a result, 172-47=125 represents the number of people who can only play the clarinet and not the flute.

Probability(P),

P=( 125 / 350)

P=0.2743.

Therefore, the probability that a single person chosen at random can play clarinet but not flute is 0.2743.

Visit this website to learn more about probability,

brainly.com/question/11234923

#SPJ4

Answer:

2

Step-by-step explanation:

12:1,2,3,4,6,12

18:1,2,3,6,9,18

32:1,2,4,8,16,32

h.c.f = 2

If deviations are positive, it means that the observations are above the mean. This is option 1.

Positive deviations indicate that the individual observations are greater than the mean of the dataset. Deviation is a measure of how far each observation deviates from the mean. When the deviations are positive, it implies that the observations are higher than the average or central value represented by the mean.

Linear regression is a statistical technique used to model the relationship between variables. It is not directly related to the sign of deviations. Therefore, option 2 is incorrect.

Option 3, which states that positive deviations indicate that observations are below the mean, is incorrect. Positive deviations indicate observations above the mean, not below.

Option 4, stating that SSE (Sum of Squared Errors) will be negative, is not necessarily true. SSE is a measure of the discrepancy between the observed values and the values predicted by a regression model. It is calculated by summing the squared differences between the observed and predicted values. The SSE can be positive or zero, but it cannot be negative.

In summary, when deviations are positive, it indicates that the observations are above the mean, not below. The statement that SSE will be negative is incorrect.

To learn more about Linear regression : brainly.com/question/13328200

#SPJ11

The units are 8 minutes, 28 centimeters.

The unit rate of the graph is 3.5 centimeters/minute

A unit rate is defined as the rate for one of something. For example, if 10 oranges cost $50, the unit rate will be $50/10 = $5 i.e.  $5 for one orange.

The 8 belongs to the time axis, so the unit is minute (min). The 28 belongs to the water level axis, so the unit is centimeters (cm).

The unit rate of the graph is time divided by the water level. That is:

unit rate = 28/8 = 3.5 centimeters/minute

Learn more about unit rate on:

https://brainly.com/question/29482391

#SPJ1

Answer:

Step-by-step explanation:

When events are independent, the probability of some sequence of them is the product of the probabilities of the individual events in that sequence.

The probability of a child having spina bifida is 16% = 0.16, so the probability that the child will not have the condition is 1 - 0.16 = 0.84. The probability that 0 of 2 children will have spina bifida is ...

  p(0 for 2) = p(0 for 1)×p(0 for 1) = 0.84×0.84 = 0.7056

__

There are two ways that 1 of 2 children can have spina bifida: either the first one does, or the second one does. These are mutually exclusive conditions, so their probabilities add:

  p(1 for 2) = p(1 for 1)×p(0 for 1) +p(0 for 1)×p(1 for 1) = 0.16×0.84 +0.84×0.16

  p(1 for 2) = 0.2688

__

There is one way both children can have spina bifida:

  p(2 for 2) = p(1 for 1)×p(1 for 1) = 0.16×0.16 = 0.0256

__

In summary, our probability distribution is ...

  p(X=0) = 0.7056

  p(X=1) = 0.2688

  p(X=2) = 0.0256

The coordinates to plot is (0, 18) with a slope 4

The standard equation of a line in slope intercept form is expressed as y = mx +b

where:

m is the slope

b is the y-intercept

Given the equation y = 9x

Hence the coordinates to plot is (0, 18)

Plot the graph of graph of the equation with slope of 4 and point (0,18) as shown

Learn more on graph here; https://brainly.com/question/14323743

Answer:

The 3rd one is correct.

Step-by-step explanation:

Answer:

∠ 1 = ∠ 2 = 25°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 4 is an exterior angle of the triangle , then

∠ 1 + ∠ 2 = ∠ 4 , that is

4x - 7 + 8x - 39 = 50

12x - 46 = 50 ( add 46 to both sides )

12x = 96 ( divide both sides by 12 )

x = 8

Then

∠ 1 = 4x - 7 = 4(8) - 7 = 32 - 7 = 25°

∠ 2 = 8x - 39 = 8(8) - 39 = 64 - 39 = 25°

Answer: 14 Units

Step-by-step explanation: Subtract (10-2) and (11-5)

Lani uses the fraction 1/3 of a yard of ribbon for each bow.

Fractions represent a part of a whole, and are used to express values that are not whole numbers.

To find the required fraction divide the total amount of ribbon by the number of bows to find the amount of ribbon used per bow.

We also use the concept of fractions to represent the amount of ribbon used per bow as a part of a yard.

Here we have

Lani uses 2 yards of ribbon to make 6 bows. each bow uses the same amount of ribbon.

To find the fraction of a yard of ribbon used for each bow, we need to divide the total length of ribbon used by the number of bows.

Hence, The amount of ribbon used for each bow is:

=> 2 yards/ 6 bows

= 1 yards/3bow

Therefore,

Lani uses the fraction 1/3 of a yard of ribbon for each bow.

Learn more about Fractions at

https://brainly.com/question/8118373

#SPJ4

Answer:

3 x 15 x 8 = 360

so, if there were 3 cone sizes, 25 flavors of ice cream, and 8 toppings, there would be about 360 different operations

Answer:

2/100 and .02

Step-by-step explanation:

Answer:

0.02 and 2/100

Step-by-step explanation:

These two are some of the more simple ways to write 2%

Answer:

see explanation

Step-by-step explanation:

(1)

The common ratio r of a geometric sequence is

r = \(\frac{a_{2} }{x_{1} }\) = \(\frac{a_{3} }{a_{2} }\) , so

\(\frac{x+1}{x-1}\) = \(\frac{x}{x+1}\) ( cross- multiply )

(x + 1)² = x(x - 1) ← expand both sides

x² + 2x + 1 = x² - x ( subtract x² - x from both sides )

3x + 1 = 0 ( subtract 1 from both sides )

3x = - 1 ( divide both sides by 3 )

x = - \(\frac{1}{3}\)

(2)

r = \(\frac{x}{x+1}\) = \(\frac{-\frac{1}{3} }{-\frac{1}{3}+1 }\) = \(\frac{-\frac{1}{3} }{\frac{2}{3} }\) = - \(\frac{1}{2}\)

(3)

If - 1 < r < 1 then the sequence will converge

r = - \(\frac{1}{2}\) meets this criteria , thus the sequence is convergent

Simpson's Paradox makes this claim possible.

The phenomenon whereby particular trends are prevalent in small data portions but are not evident or an inverse trend is observed when the portions are joined together is known as Simpson's paradox.

Whereby the data for calculating the batting averages as found online are given as follows:

Season                      Derek Jeter                           David Justice

1995                           12/48 = 0.250                         104/411 ≈ 0.253

1996                           183/582 ≈ 0.314                      45/140 ≈ 0.321

The overall hits to the overall bat's ratio are:

(183 + 12)/(582 + 48) ≈0.310   (104+45)/(411+140) = 0.27

This shows that  Derek Jeter's overall average was better than Justice's average.

Thus, Simpson's Paradox makes this claim possible.

To know more about Simpson's Paradox visit: brainly.com/question/28447378

#SPJ4

As per the given average, the team statistician claims Jeter's overall average was better than Justice's average is 0.27

Here we have given that the following table of data is presented

Time,                       Score of Derek Jeter               Score of David Justice

At 1995,                         ≈  0.250                                     ≈ 0.253

At 1996,                          ≈ 0.314                                      ≈ 0.321

Then the overall score for Derek Jeter is calculated by

=>  (183 + 12)/(582 + 48) ≈0.310  

And the overall score for  David Justice is calculated as

=> (104+45)/(411+140) = 0.27

Here the resulting values shows that  Derek Jeter's overall average was better than Justice's average  

To know more about Average here.

https://brainly.com/question/16956746

#SPJ4

The next step for the teacher in this lesson series is to give them questions on addition to show the knowledge regarding the addition.

From the information, the teacher is introducing two-digit addition to a second-grade class.

In this case, the teacher first models adding a problem with unifix cubes to demonstrate the relationship between tens and ones and also models adding a problem with base ten blocks and has the students draw and write the problem in their math notebooks.

Therefore, it can be deduced that the teacher has taught them the necessary things to know regarding the topic. Hence, it's important to give them questions on addition to show the knowledge regarding the topic.

Learn more about addition on:

https://brainly.com/question/24536701

Answer: a) x = 8/3 = 2 2/3

b) x = 3.75